Find Three Ordered Pair Solutions -x+5y=1

$- x + 5 y = 1$

Step 1

Solve the equation for $y$ .

Add $x$ to both sides of the equation.

$5 y = 1 + x$

Divide each term in $5 y = 1 + x$ by $5$ and simplify.

Divide each term in $5 y = 1 + x$ by $5$ .

$\frac{5 y}{5} = \frac{1}{5} + \frac{x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{1}{5} + \frac{x}{5}$

Divide $y$ by $1$ .

$y = \frac{1}{5} + \frac{x}{5}$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = \frac{1}{5} + \frac{0}{5}$

Simplify $\frac{1}{5} + \frac{0}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{1 + 0}{5}$

Add $1$ and $0$ .

$y = \frac{1}{5}$

Use the $x$ and $y$ values to form the ordered pair.

$(0, \frac{1}{5})$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = \frac{1}{5} + \frac{1}{5}$

Simplify $\frac{1}{5} + \frac{1}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{1 + 1}{5}$

Add $1$ and $1$ .

$y = \frac{2}{5}$

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{2}{5})$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = \frac{1}{5} + \frac{2}{5}$

Simplify $\frac{1}{5} + \frac{2}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{1 + 2}{5}$

Add $1$ and $2$ .

$y = \frac{3}{5}$

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{3}{5})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{1}{5}), (1, \frac{2}{5}), (2, \frac{3}{5})$

Step 7

Find Three Ordered Pair Solutions -x+5y=1

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